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Q.

The equation to the pair of tangets drawn from (3,2) to the circle x2+y2-6x+4y-2=0 is

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a

9x2+80xy-75y2-500x-200y+2900=0

b

x2-15y2-6x+60y-51=0

c

16x2+20xy-5y2-36x+90y-261=0

d

3x2-10xy+3y2=0

answer is B.

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Detailed Solution

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Equation to the pair of tangent drawn from (3,2) to x2+y2-6x+4-2=0 is

[3x+2y-3(x+3)+2(y+2)-2]2=(9+4-18+8-2)x2+y2-6x+4y-2

(4y-7)2=x2+y2-6x+4y-2x2-15y2-6x+60y-51=0

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